Question

The area of a rectangular room is 165 sq. m. If its length is 4 m more than its breadth, what is thelength and breadth of the hall?​

Answer 1

Answer:

15 and 11 m

Step-by-step explanation:

Let the breadth be 'x' and hence length be 'x + 4'.

Area = length * breadth = 165 m²

=> x(x + 4) = 165

=> x² + 4x = 165

=> x² + 15x - 11x - 165 = 0

=> x(x + 15) - 11(x + 15) = 0

=> (x + 15)(x - 11) = 0

=> x = 11 (x ≠ -ve).

Hence, breadth is 11 m

And, length = 11 + 4 = 15 m

Answer 2

Answer:

let the breadth of rectangle be x then the length will be x+4 now it is given that area of rectangular room is 165 sq.mso x(x+4)=165 then on solving we will get x=11 or x=-15 as we know breadth csn't be negative so neglecting x=-15 we get breadh =11m and length = 11+4 =15m